There is no way to handle these people gracefully. They don't respond to police requests to leave. They see gradual escalation as weakness. Getting someone to leave private property, a provocator who doesn't want to leave and doesn't respect anyone's authority, will inevitably require more than words. Manhandling someone out of an area by force cannot be done gracefully.
Arguably, common policies on gradual escalation only exacerbate the problem of auditors. Cops go from polite requests, to direct orders, trespass notices, through non-lethal things like tasers and pepper spray, and only then to handcuffs and arrests. The cops that handle these people best seem to be the ones that skip the middle stuff, instead going straight from polite request to handcuffs, with trespass notices coming afterwards.
Arguably, common policies on gradual escalation only exacerbate the problem of auditors. Cops go from polite requests, to direct orders, trespass notices, through non-lethal things like tasers and pepper spray, and only then to handcuffs and arrests. The cops that handle these people best seem to be the ones that skip the middle stuff, instead going straight from polite request to handcuffs, with trespass notices coming afterwards.